Question

The energy level diagram shown below represents a fictional gas. What is the energy of a photon that would move an electron from level 2 to level 5?
A. 5.8 eV
B. 4.8 eV
C. 4.2 eV
D. 2.65 eV

Answer 1

The energy of a photon that would move an electron from level 2 to level 5 : B. 4.8 eV

Further explanation

The electron energy at the nth shell can be formulated:

En = -Rh / n²

Rh = constant 2.179.10⁻¹⁸ J

So the electron transfer energy (ΔE)

ΔE = E final- E initial

energy at n=2(level 2) = -5.3 eV

energy at n=5(level 5) = -0.5 eV

So the energy absorbed :

$\tt \Delta E=-0.5-(-5.3)=-0.5+5.3=4.8`eV$